Search a number
-
+
12120122012100 = 22352977401910289
BaseRepresentation
bin1011000001011110111110…
…0100010011000111000100
31120220200011010211120102120
42300113233210103013010
53042034002213341400
641435523541405540
72360435631166224
oct260275744230704
946820133746376
1012120122012100
1139531299a5473
121438b644098b0
1369bbcbc5695b
142dc88d206084
15160413977ca0
hexb05ef9131c4

12120122012100 has 144 divisors (see below), whose sum is σ = 35115593083200. Its totient is φ = 3227607326720.

The previous prime is 12120122012081. The next prime is 12120122012161. The reversal of 12120122012100 is 121022102121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120122012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1177963756 + ... + 1177974044.

It is an arithmetic number, because the mean of its divisors is an integer number (243858285300).

Almost surely, 212120122012100 is an apocalyptic number.

12120122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120122012100 is an abundant number, since it is smaller than the sum of its proper divisors (22995471071100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12120122012100 is a wasteful number, since it uses less digits than its factorization.

12120122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120122012100 its reverse (121022102121), we get a palindrome (12241144114221).

The spelling of 12120122012100 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 977 1954 2931 3908 4019 4885 5862 8038 9770 10289 11724 12057 14655 16076 19540 20095 20578 24114 24425 29310 30867 40190 41156 48228 48850 51445 58620 60285 61734 73275 80380 97700 100475 102890 120570 123468 146550 154335 200950 205780 241140 257225 293100 301425 308670 401900 514450 602850 617340 771675 1028900 1205700 1543350 3086700 3926563 7853126 10052353 11779689 15706252 19632815 20104706 23559378 30157059 39265630 40209412 41351491 47118756 50261765 58898445 60314118 78531260 82702982 98164075 100523530 117796890 120628236 124054473 150785295 165405964 196328150 201047060 206757455 235593780 248108946 251308825 294492225 301570590 392656300 413514910 496217892 502617650 588984450 603141180 620272365 753926475 827029820 1005235300 1033787275 1177968900 1240544730 1507852950 2067574550 2481089460 3015705900 3101361825 4135149100 6202723650 12405447300 40400406707 80800813414 121201220121 161601626828 202002033535 242402440242 404004067070 484804880484 606006100605 808008134140 1010010167675 1212012201210 2020020335350 2424024402420 3030030503025 4040040670700 6060061006050 12120122012100